Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery
In this paper, the third grade non-Newtonian MHD blood flow in the porous arteries subjected to the periodic pressure gradient was studied using the Caputo-Fabrizio (NFDt ) time fractional order derivative. The time fractional model was solved by taking the Laplace and the finite Hankel transforms....
| 主要な著者: | , , , , , , |
|---|---|
| フォーマット: | 論文 |
| 出版事項: |
Science Publishing Corporation
2018
|
| 主題: |
| _version_ | 1825709807200370688 |
|---|---|
| author | Uddin, Salah Mohamad, M. Sufahani, Suliadi Firdaus Kamardan, MGhazali Mehmood, Obaid Ullah Wahid, Fazli Roslan, R. |
| author_facet | Uddin, Salah Mohamad, M. Sufahani, Suliadi Firdaus Kamardan, MGhazali Mehmood, Obaid Ullah Wahid, Fazli Roslan, R. |
| author_sort | Uddin, Salah |
| collection | UTHM |
| description | In this paper, the third grade non-Newtonian MHD blood flow in the porous arteries subjected to the periodic pressure gradient was studied using the Caputo-Fabrizio (NFDt ) time fractional order derivative. The time fractional model was solved by taking the Laplace and the finite Hankel transforms. Results were compared with those reported in the previous studies and good agreement was found. The Mathematica software was used to simulate the velocity profile and the Bessel functions with zero order and first order of first kind. The correlations between the flow velocity and the third grade non-Newtonian fluid parameter, the magnetic field and the porosity were negative. Nevertheless, the flow velocity increased with respect to the Womersely number. |
| first_indexed | 2024-03-05T21:48:01Z |
| format | Article |
| id | uthm.eprints-4243 |
| institution | Universiti Tun Hussein Onn Malaysia |
| last_indexed | 2024-03-05T21:48:01Z |
| publishDate | 2018 |
| publisher | Science Publishing Corporation |
| record_format | dspace |
| spelling | uthm.eprints-42432021-12-01T07:30:41Z http://eprints.uthm.edu.my/4243/ Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery Uddin, Salah Mohamad, M. Sufahani, Suliadi Firdaus Kamardan, MGhazali Mehmood, Obaid Ullah Wahid, Fazli Roslan, R. TK7800-8360 Electronics In this paper, the third grade non-Newtonian MHD blood flow in the porous arteries subjected to the periodic pressure gradient was studied using the Caputo-Fabrizio (NFDt ) time fractional order derivative. The time fractional model was solved by taking the Laplace and the finite Hankel transforms. Results were compared with those reported in the previous studies and good agreement was found. The Mathematica software was used to simulate the velocity profile and the Bessel functions with zero order and first order of first kind. The correlations between the flow velocity and the third grade non-Newtonian fluid parameter, the magnetic field and the porosity were negative. Nevertheless, the flow velocity increased with respect to the Womersely number. Science Publishing Corporation 2018 Article PeerReviewed Uddin, Salah and Mohamad, M. and Sufahani, Suliadi Firdaus and Kamardan, MGhazali and Mehmood, Obaid Ullah and Wahid, Fazli and Roslan, R. (2018) Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery. International Journal of Engineering and Technology, 7 (4.30). pp. 527-532. ISSN 2227-524X https://dx.doi.org/ 10.14419/ijet.v7i4.30.28170 |
| spellingShingle | TK7800-8360 Electronics Uddin, Salah Mohamad, M. Sufahani, Suliadi Firdaus Kamardan, MGhazali Mehmood, Obaid Ullah Wahid, Fazli Roslan, R. Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery |
| title | Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery |
| title_full | Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery |
| title_fullStr | Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery |
| title_full_unstemmed | Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery |
| title_short | Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery |
| title_sort | application of caputo fabrizio fractional order derivative nfdt in simulating the mhd flow of the third grade non newtonian fluid in the porous artery |
| topic | TK7800-8360 Electronics |
| work_keys_str_mv | AT uddinsalah applicationofcaputofabriziofractionalorderderivativenfdtinsimulatingthemhdflowofthethirdgradenonnewtonianfluidintheporousartery AT mohamadm applicationofcaputofabriziofractionalorderderivativenfdtinsimulatingthemhdflowofthethirdgradenonnewtonianfluidintheporousartery AT sufahanisuliadifirdaus applicationofcaputofabriziofractionalorderderivativenfdtinsimulatingthemhdflowofthethirdgradenonnewtonianfluidintheporousartery AT kamardanmghazali applicationofcaputofabriziofractionalorderderivativenfdtinsimulatingthemhdflowofthethirdgradenonnewtonianfluidintheporousartery AT mehmoodobaidullah applicationofcaputofabriziofractionalorderderivativenfdtinsimulatingthemhdflowofthethirdgradenonnewtonianfluidintheporousartery AT wahidfazli applicationofcaputofabriziofractionalorderderivativenfdtinsimulatingthemhdflowofthethirdgradenonnewtonianfluidintheporousartery AT roslanr applicationofcaputofabriziofractionalorderderivativenfdtinsimulatingthemhdflowofthethirdgradenonnewtonianfluidintheporousartery |